Explanation and Free Practice Resources
Perimeter is the total distance around a two-dimensional figure, so a missing side length can be found by subtracting the sum of the known side lengths from the given perimeter; in rectangles, opposite sides have equal lengths and can provide additional information. The reasoning connects labeled diagrams, addition, subtraction, units, and the distinction between perimeter and area, using whole-number measurements in familiar rectangles and simple polygons rather than algebraic expressions or fractional, decimal, or irregular cases.
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Perimeter is the total distance around a shape. To find a missing side:
For a rectangle, opposite sides have equal lengths.
Example: A rectangle has a perimeter of . Three sides are labeled , , and . Find the missing side.
First, add the known side lengths:
The known sides make up of the perimeter. Subtract from the total perimeter:
So, the missing side is .
Check: The rectangle’s side lengths are , , , and .
Remember, perimeter measures the distance around a shape. Area measures the space inside a shape.
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